New Global Asymptotic Robust Stability of Dynamical Delayed Neural Networks via Intervalized Interconnection Matrices.

Journal: IEEE transactions on cybernetics
Published Date:

Abstract

This article identifies a new upper bound norm for the intervalized interconnection matrices pertaining to delayed dynamical neural networks under the parameter uncertainties. By formulating the appropriate Lyapunov functional and slope-bounded activation functions, the derived new upper bound norms provide new sufficient conditions corresponding to the equilibrium point of the globally asymptotic robust stability with respect to the delayed neural networks. The new upper bound norm also yields the optimized minimum results as compared with some existing methods. Numerical examples are given to demonstrate the effectiveness of the proposed results obtained through the new upper bound norm method.

Authors

  • Nallappan Gunasekaran
    Computational Intelligence Laboratory, Toyota Technological Institute, Nagoya, 468-8511, Japan. Electronic address: gunasmaths@gmail.com.
  • N Mohamed Thoiyab
  • Quanxin Zhu
    School of Mathematical Sciences and Institute of Finance and Statistics, Nanjing Normal University, Nanjing, 210023, China; Department of Mathematics, University of Bielefeld, Bielefeld D-33615, Germany. Electronic address: zqx22@126.com.
  • Jinde Cao
  • P Muruganantham